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Chapter 9: Q. 9.6 (page 509)
Suppose the null hypothesis, , is: a patient is not sick. Which type of error has the greater consequence, Type or Type?
Type one error is the patient is sick which is opposite to the fact.
Type two error is the patient is not sick which is opposite to the fact.
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Driver error can be listed as the cause of approximately 54% of all fatal auto accidents, according to the American Automobile Association. Thirty randomly selected fatal accidents are examined, and it is determined that 14 were caused by driver error. Using 伪 = 0.05, is the AAA proportion accurate?
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the 伪 = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if 伪 = 0.01? Assume the amount of summer rainfall follows a normal distribution.
The mean number of sick days an employee takes per year is believed to be about ten. Members of a personnel department do not believe this figure. They randomly survey eight employees. The number of sick days they took for the past year are as follows: . Let the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
"Japanese Girls鈥� Names"
by Kumi Furuichi
It used to be very typical for Japanese girls鈥� names to end with 鈥渒o.鈥� (The trend might have started around my
grandmothers鈥� generation and its peak might have been around my mother鈥檚 generation.) 鈥淜o鈥� means 鈥渃hild鈥� in Chinese characters. Parents would name their daughters with 鈥渒o鈥� attaching to other Chinese characters which have meanings that they want their daughters to become, such as Sachiko鈥攈appy child, Yoshiko鈥攁 good child, Yasuko鈥攁 healthy child, and so on.
However, I noticed recently that only two out of nine of my Japanese girlfriends at this school have names which end with 鈥渒o.鈥� More and more, parents seem to have become creative, modernized, and, sometimes, westernized in naming their children.
I have a feeling that, while 70 percent or more of my mother鈥檚 generation would have names with 鈥渒o鈥� at the end,
the proportion has dropped among my peers. I wrote down all my Japanese friends鈥�, ex-classmates鈥�, co-workers, and
acquaintances鈥� names that I could remember. Following are the names. (Some are repeats.) Test to see if the proportion has
dropped for this generation.
Ai, Akemi, Akiko, Ayumi, Chiaki, Chie, Eiko, Eri, Eriko, Fumiko, Harumi, Hitomi, Hiroko, Hiroko, Hidemi, Hisako,
Hinako, Izumi, Izumi, Junko, Junko, Kana, Kanako, Kanayo, Kayo, Kayoko, Kazumi, Keiko, Keiko, Kei, Kumi, Kumiko,
Kyoko, Kyoko, Madoka, Maho, Mai, Maiko, Maki, Miki, Miki, Mikiko, Mina, Minako, Miyako, Momoko, Nana, Naoko,
Naoko, Naoko, Noriko, Rieko, Rika, Rika, Rumiko, Rei, Reiko, Reiko, Sachiko, Sachiko, Sachiyo, Saki, Sayaka, Sayoko,
Sayuri, Seiko, Shiho, Shizuka, Sumiko, Takako, Takako, Tomoe, Tomoe, Tomoko, Touko, Yasuko, Yasuko, Yasuyo, Yoko, Yoko, Yoko, Yoshiko, Yoshiko, Yoshiko, Yuka, Yuki, Yuki, Yukiko, Yuko, Yuko.
A particular brand of tires claims that its deluxe tire averages at least miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be . A survey of owners of that tire design is conducted. From the tires surveyed, the mean lifespan was miles with a standard deviation of miles. Using alpha =, is the data highly inconsistent with the claim?
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